Witnesses for entanglement depth: from device-independence to device-dependence

  • 洪 瑞晨

Student thesis: Master's Thesis

Abstract

In this thesis we will discuss a family of Bell-like inequalities and their ability to witness entanglement depth against different states The duscussion will be separated into two major parts In the first part we would discuss the inequalities in a device-independent setting which means that the conclusions drawn do not rely on any assumption about the experimental measurements and devices We then use the device-independent bound to witness the entanglement depth which is a quantity that characterizes the extent of many-body entanglement For the other part we would discuss the inequality in the device-dependent setting where we consider a certain set of measurements and try to find the corresponding quantum bound of the inequalities We then use the quantum bound to witness the entanglement depth of some quantum state For each of these cases we also compute their visibility a quantity related to noise tolerance The advantage of our inequalities is that it not only can certify that the state is entangled but also the extent of many-body entanglement
Date of Award2017 Feb 6
Original languageEnglish
SupervisorYeong-Cherng Liang (Supervisor)

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